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4992240 = 2435113161
BaseRepresentation
bin10011000010110011110000
3100101122001210
4103002303300
52234222430
6255000120
760301431
oct23026360
910348053
104992240
1128aa820
121809040
13105a3b6
1493d488
156892b0
hex4c2cf0

4992240 has 160 divisors (see below), whose sum is σ = 17713152. Its totient is φ = 1152000.

The previous prime is 4992233. The next prime is 4992241. The reversal of 4992240 is 422994.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4992198 and 4992207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4992241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81810 + ... + 81870.

Almost surely, 24992240 is an apocalyptic number.

4992240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4992240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856576).

4992240 is an abundant number, since it is smaller than the sum of its proper divisors (12720912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4992240 is a wasteful number, since it uses less digits than its factorization.

4992240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4992240 is about 2234.3321149731. The cubic root of 4992240 is about 170.9090861078.

The spelling of 4992240 in words is "four million, nine hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 61 62 66 80 88 93 110 120 122 124 132 155 165 176 183 186 220 240 244 248 264 305 310 330 341 366 372 440 465 488 496 528 610 620 660 671 682 732 744 880 915 930 976 1023 1220 1240 1320 1342 1364 1464 1488 1705 1830 1860 1891 2013 2046 2440 2480 2640 2684 2728 2928 3355 3410 3660 3720 3782 4026 4092 4880 5115 5368 5456 5673 6710 6820 7320 7440 7564 8052 8184 9455 10065 10230 10736 11346 13420 13640 14640 15128 16104 16368 18910 20130 20460 20801 22692 26840 27280 28365 30256 32208 37820 40260 40920 41602 45384 53680 56730 62403 75640 80520 81840 83204 90768 104005 113460 124806 151280 161040 166408 208010 226920 249612 312015 332816 416020 453840 499224 624030 832040 998448 1248060 1664080 2496120 4992240